QKAN: quantum Kolmogorov-Arnold networks with applications in machine learning and multivariate state preparation
Ivashkov, P
Huang, P
Koor, K
Pira, L
Rebentrost, P
(06 Oct 2024)
https://arxiv.org/abs/2410.04435v2
Quantum enhanced rare event discovery and sampling
Guo, N
Huang, P
Wang, Q
Thompson, J
Rebentrost, P
Gu, M
Yang, C
(04 Jun 2026)
https://arxiv.org/abs/2606.06316v1
Thu, 15 Oct 2026
11:00
11:00
C6
all mixed identities are singular in groups with no algebraicity
Paolo Marimon
(Oxford University)
Abstract
We show that if a group admits an action with no algebraicity, then all of its mixed identities are singular. This generalises a theorem of Abért showing such groups are lawless. Our result confirms a conjecture of Bodirsky, Schneider, and Thom for a large class of oligomorphic permutation groups, and it also applies to several groups arising in topological contexts. I'll also discuss how ideas from independence relations in model theory arise in the proof and yield more general results, also applying to infinite-dimensional general (and projective) linear groups over arbitrary fields, recovering results of Bradford, Schneider, and Thom.
This is joint work with Michael Pinsker.
Measurement-Based Uncomputation from an Error Correction Perspective
Jeon, M
Huang, P
Cai, Z
(25 Sep 2026)
https://arxiv.org/abs/2609.31605v1
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